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P Sads Spurge Sdeso Scool z u u u tz CC g,i w,i u2ufu2 AR z2 2D i S S (2.23) The full process model is simulated with an implicit first-order backward differencing scheme in gPROMSTM by controlling the binary switches explicitly. The stages are simulated ensuring that the grid size mentioned in Table 2.1 results in a grid Peclet number of 0.13, which is much lower than the maximum acceptable limit of two to achieve numerical stability. Hybrid differencing techniques can be employed; however, the additional penalty on the calculation time and simulation failures must be addressed. Additionally, gPROMSTM ModelBuilder offers backward, forward, and central differencing options and hybrid differencing is observed to create computational instabilities in the solution procedure, as the transient built-in solvers are used to solve the differential equations. Appendix C shows detailed sample calculations for a sample data point during the simulation of the overall process in a cyclic steady state. In the full process model, the execution times for each of these stages are specified. The times required for each stage are calculated using parametric studies, in which important variables for the considered stage are monitored. Table 2.2 shows the cs eq,Mass,i h u2 du fL L L zIF 2Dh dt LDG u2 du fG Lz G2D Gdt IF h u2 du fL L L LzIF 2Dh dt GDL u2 du fG z G 2D G dt IF h 38PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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